126894978 has 128 divisors (see below), whose sum is σ = 340285440. Its totient is φ = 34292160.

The previous prime is 126894949. The next prime is 126894983. The reversal of 126894978 is 879498621.

It is a super-2 number, since 2×126894978² = 32204670883240968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 601293 + ... + 601503.

It is an arithmetic number, because the mean of its divisors is an integer number (2658480).

Almost surely, 2^126894978 is an apocalyptic number.

126894978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126894978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170142720).

126894978 is an abundant number, since it is smaller than the sum of its proper divisors (213390462).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126894978 is a wasteful number, since it uses less digits than its factorization.

126894978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 126894978 is about 11264.7671081119. The cubic root of 126894978 is about 502.5139759980.

The spelling of 126894978 in words is "one hundred twenty-six million, eight hundred ninety-four thousand, nine hundred seventy-eight".